scientific article

zbMath0732.11002MaRDI QIDQ3358790

Yuri I. Manin, Alexei A. Panchishkin

Publication date: 1990

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

automorphic formsmodular formsGalois representationsDiophantine problemsL-functionsautomorphic representationsrecursively enumerable setsTate conjecturearithmetic schemeDiophantine setsWeil conjectureZeta-functionsArithmetic of algebraic varietiesisogenies of abelian varieties

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic problems in algebraic geometry; Diophantine geometry (14Gxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Algebraic number theory: global fields (11Rxx) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Discontinuous groups and automorphic forms (11Fxx) Elementary number theory (11Axx) Abelian varieties and schemes (14Kxx) Connections of number theory and logic (11Uxx)

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On an asymptotics of the number of representations of a pair of integers by quadratic and linear forms with congruential condition ⋮ DENSITY AND DISTRIBUTION OF PRIMES ⋮ The growth of linear groups

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